51532643100 has 144 divisors (see below), whose sum is σ = 155792528640. Its totient is φ = 13126924800.

The previous prime is 51532643093. The next prime is 51532643101. The reversal of 51532643100 is 134623515.

It is a super-2 number, since 2×51532643100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51532643101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5591296 + ... + 5600504.

It is an arithmetic number, because the mean of its divisors is an integer number (1081892560).

Almost surely, 2^51532643100 is an apocalyptic number.

51532643100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51532643100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77896264320).

51532643100 is an abundant number, since it is smaller than the sum of its proper divisors (104259885540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51532643100 is a wasteful number, since it uses less digits than its factorization.

51532643100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 51532643100 in words is "fifty-one billion, five hundred thirty-two million, six hundred forty-three thousand, one hundred".