258151383396 has 105 divisors (see below), whose sum is σ = 684393128111. Its totient is φ = 85163342976.

The previous prime is 258151383359. The next prime is 258151383419. The reversal of 258151383396 is 693383151852.

The square root of 258151383396 is 508086.

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

258151383396 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 513 + 8 + 33 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2681789796 + 255469593600 = 51786^2 + 505440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 2661354420 + ... + 2661354516.

Almost surely, 2^258151383396 is an apocalyptic number.

258151383396 is the 508086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258151383396

258151383396 is an abundant number, since it is smaller than the sum of its proper divisors (426241744715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258151383396 is an frugal number, since it uses more digits than its factorization.

258151383396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 102 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 258151383396 in words is "two hundred fifty-eight billion, one hundred fifty-one million, three hundred eighty-three thousand, three hundred ninety-six".