2153536506625 has 48 divisors (see below), whose sum is σ = 3131513246160. Its totient is φ = 1474299187200.

The previous prime is 2153536506619. The next prime is 2153536506647. The reversal of 2153536506625 is 5266056353512.

It can be written as a sum of positive squares in 8 ways, for example, as 1971069986704 + 182466519921 = 1403948^2 + 427161^2 .

It is not a de Polignac number, because 2153536506625 - 2³³ = 2144946572033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 3467841 + ... + 4041409.

It is an arithmetic number, because the mean of its divisors is an integer number (65239859295).

Almost surely, 2^{2153536506625} is an apocalyptic number.

2153536506625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2153536506625 is a deficient number, since it is larger than the sum of its proper divisors (977976739535).

2153536506625 is an equidigital number, since it uses as much as digits as its factorization.

2153536506625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574211 (or 574194 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 49.

It can be divided in two parts, 2153536 and 506625, that added together give a square (2660161 = 1631²).

The spelling of 2153536506625 in words is "two trillion, one hundred fifty-three billion, five hundred thirty-six million, five hundred six thousand, six hundred twenty-five".