258020313849 has 9 divisors (see below), whose sum is σ = 372698210053. Its totient is φ = 172012526652.

The previous prime is 258020313827. The next prime is 258020313851. The reversal of 258020313849 is 948313020852.

The square root of 258020313849 is 507957.

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

258020313849 is a `hidden beast` number, since 2 + 580 + 2 + 0 + 31 + 38 + 4 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 258020313849 - 2²¹ = 258018216697 is a prime.

It is a super-2 number, since 2×258020313849² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258020311849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1439212 + ... + 1608530.

Almost surely, 2^258020313849 is an apocalyptic number.

258020313849 is the 507957-th square number.

258020313849 is the 253979-th centered octagonal number.

It is an amenable number.

258020313849 is a deficient number, since it is larger than the sum of its proper divisors (114677896204).

258020313849 is an frugal number, since it uses more digits than its factorization.

258020313849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338644 (or 169322 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 258020313849 in words is "two hundred fifty-eight billion, twenty million, three hundred thirteen thousand, eight hundred forty-nine".