625696820100 has 1215 divisors, whose sum is σ = 2419728722719. Its totient is φ = 139724006400.

The previous prime is 625696820081. The next prime is 625696820101. The reversal of 625696820100 is 1028696526.

The square root of 625696820100 is 791010.

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

625696820100 is a `hidden beast` number, since 6 + 2 + 569 + 6 + 82 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14635676484 + 611061143616 = 120978^2 + 781704^2 .

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

It is not an unprimeable number, because it can be changed into a prime (625696820101) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 13312698277 + ... + 13312698323.

Almost surely, 2^625696820100 is an apocalyptic number.

625696820100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

625696820100 is the 791010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625696820100

625696820100 is an abundant number, since it is smaller than the sum of its proper divisors (1794031902619).

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

625696820100 is a wasteful number, since it uses less digits than its factorization.

625696820100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 625696820100 in words is "six hundred twenty-five billion, six hundred ninety-six million, eight hundred twenty thousand, one hundred".