285268151025 has 405 divisors, whose sum is σ = 636604142097. Its totient is φ = 126134236800.

The previous prime is 285268151011. The next prime is 285268151029. The reversal of 285268151025 is 520151862582.

The square root of 285268151025 is 534105.

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

285268151025 is a `hidden beast` number, since 2 + 8 + 52 + 6 + 81 + 510 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73528287921 + 211739863104 = 271161^2 + 460152^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 285268151025 - 2²¹ = 285266053873 is a prime.

It is a super-3 number, since 3×285268151025³ (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (285268151029) by changing a digit.

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 404 ways as a sum of consecutive naturals, for example, 3436965634 + ... + 3436965716.

Almost surely, 2^285268151025 is an apocalyptic number.

285268151025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

285268151025 is the 534105-th square number.

285268151025 is the 267053-rd centered octagonal number.

It is an amenable number.

285268151025 is an abundant number, since it is smaller than the sum of its proper divisors (351335991072).

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

285268151025 is a wasteful number, since it uses less digits than its factorization.

285268151025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 285268151025 in words is "two hundred eighty-five billion, two hundred sixty-eight million, one hundred fifty-one thousand, twenty-five".