1352906291025 has 27 divisors (see below), whose sum is σ = 2423236740379. Its totient is φ = 721540716720.

The previous prime is 1352906290991. The next prime is 1352906291047. The reversal of 1352906291025 is 5201926092531.

The square root of 1352906291025 is 1163145.

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

1352906291025 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 9 + 0 + 629 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 487046264769 + 865860026256 = 697887^2 + 930516^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1352906291025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17408404 + ... + 17485946.

Almost surely, 2^{1352906291025} is an apocalyptic number.

1352906291025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1352906291025 is the 1163145-th square number.

1352906291025 is the 581573-rd centered octagonal number.

It is an amenable number.

1352906291025 is a deficient number, since it is larger than the sum of its proper divisors (1070330449354).

1352906291025 is an frugal number, since it uses more digits than its factorization.

1352906291025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155102 (or 77551 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 1352906291025 in words is "one trillion, three hundred fifty-two billion, nine hundred six million, two hundred ninety-one thousand, twenty-five".