361856387025 has 243 divisors, whose sum is σ = 803283212979. Its totient is φ = 155227484160.

The previous prime is 361856387023. The next prime is 361856387047. The reversal of 361856387025 is 520783658163.

The square root of 361856387025 is 601545.

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

361856387025 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 563 + 8 + 70 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 211836506049 + 150019880976 = 460257^2 + 387324^2 .

It is not a de Polignac number, because 361856387025 - 2¹ = 361856387023 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (361856387023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1073757657 + ... + 1073757993.

Almost surely, 2^361856387025 is an apocalyptic number.

361856387025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

361856387025 is the 601545-th square number.

361856387025 is the 300773-rd centered octagonal number.

It is an amenable number.

361856387025 is an abundant number, since it is smaller than the sum of its proper divisors (441426825954).

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

361856387025 is a wasteful number, since it uses less digits than its factorization.

361856387025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 361856387025 in words is "three hundred sixty-one billion, eight hundred fifty-six million, three hundred eighty-seven thousand, twenty-five".