1625395508100 has 729 divisors, whose sum is σ = 6431225717007. Its totient is φ = 342206242560.

The previous prime is 1625395508071. The next prime is 1625395508111. The reversal of 1625395508100 is 18055935261.

The square root of 1625395508100 is 1274910.

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

1625395508100 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 39 + 5 + 508 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 418948096644 + 1206447411456 = 647262^2 + 1098384^2 .

It is a super-2 number, since 2×1625395508100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3480504067 + ... + 3480504533.

Almost surely, 2^{1625395508100} is an apocalyptic number.

1625395508100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1625395508100 is the 1274910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1625395508100

1625395508100 is an abundant number, since it is smaller than the sum of its proper divisors (4805830208907).

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

1625395508100 is a wasteful number, since it uses less digits than its factorization.

1625395508100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1625395508100 in words is "one trillion, six hundred twenty-five billion, three hundred ninety-five million, five hundred eight thousand, one hundred".