252131000 has 64 divisors (see below), whose sum is σ = 643649760. Its totient is φ = 91680000.

The previous prime is 252130997. The next prime is 252131003. The reversal of 252131000 is 131252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (252130997) and next prime (252131003).

It is a super-2 number, since 2×252131000² = 127140082322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252131003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461 + ... + 22460.

Almost surely, 2^252131000 is an apocalyptic number.

252131000 is a gapful number since it is divisible by the number (20) 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 252131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321824880).

252131000 is an abundant number, since it is smaller than the sum of its proper divisors (391518760).

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

252131000 is a wasteful number, since it uses less digits than its factorization.

252131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953 (or 22939 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 252131000 is about 15878.6334424597. The cubic root of 252131000 is about 631.7453909520.

Adding to 252131000 its reverse (131252), we get a palindrome (252262252).

The spelling of 252131000 in words is "two hundred fifty-two million, one hundred thirty-one thousand".