535977731025 has 567 divisors, whose sum is σ = 1205008269283. Its totient is φ = 236147788800.

The previous prime is 535977730859. The next prime is 535977731063. The reversal of 535977731025 is 520137779535.

It is a happy number.

The square root of 535977731025 is 732105.

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

535977731025 is a `hidden beast` number, since 535 + 9 + 7 + 7 + 73 + 10 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 174622858641 + 361354872384 = 417879^2 + 601128^2 .

It is not a de Polignac number, because 535977731025 - 2¹¹ = 535977728977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 18481990711 + ... + 18481990739.

Almost surely, 2^535977731025 is an apocalyptic number.

535977731025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

535977731025 is the 732105-th square number.

535977731025 is the 366053-rd centered octagonal number.

It is an amenable number.

535977731025 is an abundant number, since it is smaller than the sum of its proper divisors (669030538258).

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

535977731025 is a wasteful number, since it uses less digits than its factorization.

535977731025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 535977731025 in words is "five hundred thirty-five billion, nine hundred seventy-seven million, seven hundred thirty-one thousand, twenty-five".