258261751053 has 48 divisors (see below), whose sum is σ = 406668802560. Its totient is φ = 161955528192.

The previous prime is 258261751039. The next prime is 258261751057. The reversal of 258261751053 is 350157162852.

258261751053 is a `hidden beast` number, since 2 + 5 + 82 + 6 + 1 + 7 + 510 + 53 = 666.

It is not a de Polignac number, because 258261751053 - 2¹³ = 258261742861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258261751057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15543076 + ... + 15559682.

It is an arithmetic number, because the mean of its divisors is an integer number (8472266720).

Almost surely, 2^258261751053 is an apocalyptic number.

It is an amenable number.

258261751053 is a deficient number, since it is larger than the sum of its proper divisors (148407051507).

258261751053 is a wasteful number, since it uses less digits than its factorization.

258261751053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18643 (or 18620 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 258261751053 in words is "two hundred fifty-eight billion, two hundred sixty-one million, seven hundred fifty-one thousand, fifty-three".