1513137010 has 128 divisors (see below), whose sum is σ = 3637094400. Its totient is φ = 438981120.

The previous prime is 1513136993. The next prime is 1513137011. The reversal of 1513137010 is 107313151.

It is a super-3 number, since 3×1513137010³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1513137011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862294 + ... + 864046.

It is an arithmetic number, because the mean of its divisors is an integer number (28414800).

Almost surely, 2^1513137010 is an apocalyptic number.

1513137010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1513137010 is an abundant number, since it is smaller than the sum of its proper divisors (2123957390).

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

1513137010 is a wasteful number, since it uses less digits than its factorization.

1513137010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 1513137010 is about 38899.0618138793. The cubic root of 1513137010 is about 1148.0463388847.

The spelling of 1513137010 in words is "one billion, five hundred thirteen million, one hundred thirty-seven thousand, ten".