625412088900 has 567 divisors, whose sum is σ = 2128441659253. Its totient is φ = 159431328000.

The previous prime is 625412088877. The next prime is 625412088907. The reversal of 625412088900 is 9880214526.

The square root of 625412088900 is 790830.

It is a perfect power (a square), and thus also a powerful number.

625412088900 is a `hidden beast` number, since 6 + 2 + 541 + 20 + 8 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 60713945604 + 564698143296 = 246402^2 + 751464^2 .

It is a super-2 number, since 2×625412088900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625412088907) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6192198850 + ... + 6192198950.

Almost surely, 2^625412088900 is an apocalyptic number.

625412088900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

625412088900 is the 790830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625412088900

625412088900 is an abundant number, since it is smaller than the sum of its proper divisors (1503029570353).

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

625412088900 is a wasteful number, since it uses less digits than its factorization.

625412088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 625412088900 in words is "six hundred twenty-five billion, four hundred twelve million, eighty-eight thousand, nine hundred".