252315120 has 40 divisors (see below), whose sum is σ = 782177616. Its totient is φ = 67283968.

The previous prime is 252315113. The next prime is 252315121. The reversal of 252315120 is 21513252.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×252315120² = 127325839561228800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252315121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525417 + ... + 525896.

Almost surely, 2^252315120 is an apocalyptic number.

252315120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252315120 is an abundant number, since it is smaller than the sum of its proper divisors (529862496).

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

252315120 is a wasteful number, since it uses less digits than its factorization.

252315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051329 (or 1051323 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 252315120 is about 15884.4301125347. The cubic root of 252315120 is about 631.8991320088.

Adding to 252315120 its reverse (21513252), we get a palindrome (273828372).

The spelling of 252315120 in words is "two hundred fifty-two million, three hundred fifteen thousand, one hundred twenty".