213150560 has 48 divisors (see below), whose sum is σ = 575509536. Its totient is φ = 73079808.

The previous prime is 213150473. The next prime is 213150563. The reversal of 213150560 is 65051312.

It is a super-2 number, since 2×213150560² = 90866322456627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213150563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94037 + ... + 96276.

It is an arithmetic number, because the mean of its divisors is an integer number (11989782).

Almost surely, 2^213150560 is an apocalyptic number.

213150560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213150560 is an abundant number, since it is smaller than the sum of its proper divisors (362358976).

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

213150560 is a wasteful number, since it uses less digits than its factorization.

213150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190335 (or 190327 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 213150560 is about 14599.6767087494. The cubic root of 213150560 is about 597.3499421845.

The spelling of 213150560 in words is "two hundred thirteen million, one hundred fifty thousand, five hundred sixty".