258123947481 has 63 divisors (see below), whose sum is σ = 400555645893. Its totient is φ = 166257227160.

The previous prime is 258123947449. The next prime is 258123947561. The reversal of 258123947481 is 184749321852.

The square root of 258123947481 is 508059.

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

258123947481 is a `hidden beast` number, since 2 + 58 + 1 + 23 + 94 + 7 + 481 = 666.

It is not a de Polignac number, because 258123947481 - 2⁵ = 258123947449 is a prime.

It is a super-2 number, since 2×258123947481² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258123947441) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 425245080 + ... + 425245686.

Almost surely, 2^258123947481 is an apocalyptic number.

258123947481 is the 508059-th square number.

258123947481 is the 254030-th centered octagonal number.

It is an amenable number.

258123947481 is a deficient number, since it is larger than the sum of its proper divisors (142431698412).

258123947481 is an frugal number, since it uses more digits than its factorization.

258123947481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 641 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

It can be divided in two parts, 258123 and 947481, that added together give a square (1205604 = 1098²).

The spelling of 258123947481 in words is "two hundred fifty-eight billion, one hundred twenty-three million, nine hundred forty-seven thousand, four hundred eighty-one".