1263657015625 has 105 divisors (see below), whose sum is σ = 1754200729537. Its totient is φ = 910091600000.

The previous prime is 1263657015623. The next prime is 1263657015637. The reversal of 1263657015625 is 5265107563621.

The square root of 1263657015625 is 1124125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1242339847609 + 21317168016 = 1114603^2 + 146004^2 .

It is not a de Polignac number, because 1263657015625 - 2¹ = 1263657015623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1263657015623) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 54941609364 + ... + 54941609386.

Almost surely, 2^{1263657015625} is an apocalyptic number.

1263657015625 is the 1124125-th square number.

1263657015625 is the 562063-rd centered octagonal number.

It is an amenable number.

1263657015625 is a deficient number, since it is larger than the sum of its proper divisors (490543713912).

1263657015625 is an frugal number, since it uses more digits than its factorization.

1263657015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 1263657015625 by its sum of digits (49), we get a square (61919193765625 = 7868875²).

The spelling of 1263657015625 in words is "one trillion, two hundred sixty-three billion, six hundred fifty-seven million, fifteen thousand, six hundred twenty-five".