2531252000 has 48 divisors (see below), whose sum is σ = 6219295992. Its totient is φ = 1012499200.

The previous prime is 2531251993. The next prime is 2531252057. The reversal of 2531252000 is 2521352.

It can be written as a sum of positive squares in 4 ways, for example, as 81793936 + 2449458064 = 9044^2 + 49492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312407 + ... + 320406.

Almost surely, 2^2531252000 is an apocalyptic number.

2531252000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2531252000 is an abundant number, since it is smaller than the sum of its proper divisors (3688043992).

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

2531252000 is an equidigital number, since it uses as much as digits as its factorization.

2531252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632838 (or 632820 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2531252000 is about 50311.5493699011. The cubic root of 2531252000 is about 1362.8408035614.

Adding to 2531252000 its reverse (2521352), we get a palindrome (2533773352).

It can be divided in two parts, 253125 and 2000, that multiplied together give a 4-th power (506250000 = 150⁴).

The spelling of 2531252000 in words is "two billion, five hundred thirty-one million, two hundred fifty-two thousand".