1258491330625 has 45 divisors (see below), whose sum is σ = 1644801002229. Its totient is φ = 962525850000.

The previous prime is 1258491330619. The next prime is 1258491330641. The reversal of 1258491330625 is 5260331948521.

The square root of 1258491330625 is 1121825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 98665720321 + 1159825610304 = 314111^2 + 1076952^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1258491330625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 645048400 + ... + 645050350.

Almost surely, 2^{1258491330625} is an apocalyptic number.

1258491330625 is the 1121825-th square number.

1258491330625 is the 560913-rd centered octagonal number.

It is an amenable number.

1258491330625 is a deficient number, since it is larger than the sum of its proper divisors (386309671604).

1258491330625 is an frugal number, since it uses more digits than its factorization.

1258491330625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 1258491330625 by its sum of digits (49), we get a square (61666075200625 = 7852775²).

The spelling of 1258491330625 in words is "one trillion, two hundred fifty-eight billion, four hundred ninety-one million, three hundred thirty thousand, six hundred twenty-five".