258277041 has 27 divisors (see below), whose sum is σ = 410908953. Its totient is φ = 156210120.

The previous prime is 258277031. The next prime is 258277067. The reversal of 258277041 is 140772852.

The square root of 258277041 is 16071.

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

258277041 is a `hidden beast` number, since 2 + 582 + 7 + 70 + 4 + 1 = 666.

It is not a de Polignac number, because 258277041 - 2⁵ = 258277009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258276987 and 258277005.

It is not an unprimeable number, because it can be changed into a prime (258277031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 530100 + ... + 530586.

Almost surely, 2^258277041 is an apocalyptic number.

258277041 is the 16071-st square number.

258277041 is the 8036-th centered octagonal number.

It is an amenable number.

258277041 is a deficient number, since it is larger than the sum of its proper divisors (152631912).

258277041 is an equidigital number, since it uses as much as digits as its factorization.

258277041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The cubic root of 258277041 is about 636.8374588468.

Multiplying 258277041 by its sum of digits (36), we get a square (9297973476 = 96426²).

The spelling of 258277041 in words is "two hundred fifty-eight million, two hundred seventy-seven thousand, forty-one".