1355187015625 has 63 divisors (see below), whose sum is σ = 1732082848587. Its totient is φ = 1060285050000.

The previous prime is 1355187015613. The next prime is 1355187015629. The reversal of 1355187015625 is 5265107815531.

The square root of 1355187015625 is 1164125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1187273923641 + 167913091984 = 1089621^2 + 409772^2 .

It is not a de Polignac number, because 1355187015625 - 2¹⁵ = 1355186982857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1355187015629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9749546806 + ... + 9749546944.

It is an arithmetic number, because the mean of its divisors is an integer number (27493378549).

Almost surely, 2^{1355187015625} is an apocalyptic number.

1355187015625 is the 1164125-th square number.

1355187015625 is the 582063-rd centered octagonal number.

It is an amenable number.

1355187015625 is a deficient number, since it is larger than the sum of its proper divisors (376895832962).

1355187015625 is an frugal number, since it uses more digits than its factorization.

1355187015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 49.

Multiplying 1355187015625 by its sum of digits (49), we get a square (66404163765625 = 8148875²).

The spelling of 1355187015625 in words is "one trillion, three hundred fifty-five billion, one hundred eighty-seven million, fifteen thousand, six hundred twenty-five".