135553256325 has 48 divisors (see below), whose sum is σ = 250977269760. Its totient is φ = 71725772160.

The previous prime is 135553256317. The next prime is 135553256369. The reversal of 135553256325 is 523652355531.

135553256325 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 3 + 2 + 5 + 632 + 5 = 666.

It is not a de Polignac number, because 135553256325 - 2³ = 135553256317 is a prime.

It is a super-2 number, since 2×135553256325² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704904 + ... + 876353.

It is an arithmetic number, because the mean of its divisors is an integer number (5228693120).

Almost surely, 2^135553256325 is an apocalyptic number.

135553256325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135553256325 is a deficient number, since it is larger than the sum of its proper divisors (115424013435).

135553256325 is a wasteful number, since it uses less digits than its factorization.

135553256325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581403 (or 1581392 counting only the distinct ones).

The product of its digits is 2025000, while the sum is 45.

The spelling of 135553256325 in words is "one hundred thirty-five billion, five hundred fifty-three million, two hundred fifty-six thousand, three hundred twenty-five".