258252778251 has 32 divisors (see below), whose sum is σ = 412065657920. Its totient is φ = 158909962752.

The previous prime is 258252778193. The next prime is 258252778339. The reversal of 258252778251 is 152877252852.

258252778251 is a `hidden beast` number, since 2 + 582 + 5 + 2 + 7 + 7 + 8 + 2 + 51 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-258252778251 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258252771251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4639581 + ... + 4694913.

It is an arithmetic number, because the mean of its divisors is an integer number (12877051810).

Almost surely, 2^258252778251 is an apocalyptic number.

258252778251 is a deficient number, since it is larger than the sum of its proper divisors (153812879669).

258252778251 is a wasteful number, since it uses less digits than its factorization.

258252778251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68652 (or 68646 counting only the distinct ones).

The product of its digits is 6272000, while the sum is 54.

The spelling of 258252778251 in words is "two hundred fifty-eight billion, two hundred fifty-two million, seven hundred seventy-eight thousand, two hundred fifty-one".