35250813504 has 63 divisors (see below), whose sum is σ = 101053009603. Its totient is φ = 11748769152.

The previous prime is 35250813473. The next prime is 35250813511. The reversal of 35250813504 is 40531805253.

The square root of 35250813504 is 187752.

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

35250813504 is a `hidden beast` number, since 3 + 525 + 0 + 81 + 3 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4502137 + ... + 4509959.

Almost surely, 2^35250813504 is an apocalyptic number.

35250813504 is the 187752-nd square number.

It is an amenable number.

35250813504 is an abundant number, since it is smaller than the sum of its proper divisors (65802196099).

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

35250813504 is an frugal number, since it uses more digits than its factorization.

35250813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15664 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 35250813504 by its sum of digits (36), we get a square (1269029286144 = 1126512²).

35250813504 divided by its sum of digits (36) gives a square (979189264 = 31292²).

The spelling of 35250813504 in words is "thirty-five billion, two hundred fifty million, eight hundred thirteen thousand, five hundred four".