975413016900 has 243 divisors, whose sum is σ = 3557298041661. Its totient is φ = 222904140480.

The previous prime is 975413016881. The next prime is 975413016931. The reversal of 975413016900 is 9610314579.

The square root of 975413016900 is 987630.

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

975413016900 is a `hidden beast` number, since 9 + 7 + 541 + 3 + 0 + 16 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351148686084 + 624264330816 = 592578^2 + 790104^2 .

It is a super-2 number, since 2×975413016900² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207399949 + ... + 207404651.

Almost surely, 2^975413016900 is an apocalyptic number.

975413016900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

975413016900 is the 987630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975413016900

975413016900 is an abundant number, since it is smaller than the sum of its proper divisors (2581885024761).

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

975413016900 is a wasteful number, since it uses less digits than its factorization.

975413016900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 975413016900 in words is "nine hundred seventy-five billion, four hundred thirteen million, sixteen thousand, nine hundred".