2505420153 has 48 divisors (see below), whose sum is σ = 3938328576. Its totient is φ = 1588617360.

The previous prime is 2505420131. The next prime is 2505420163. The reversal of 2505420153 is 3510245052.

It is a happy number.

2505420153 is a `hidden beast` number, since 2 + 505 + 4 + 2 + 0 + 153 = 666.

It is not a de Polignac number, because 2505420153 - 2²⁰ = 2504371577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2505420103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1066326 + ... + 1068672.

It is an arithmetic number, because the mean of its divisors is an integer number (82048512).

Almost surely, 2^2505420153 is an apocalyptic number.

2505420153 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2505420153 is a deficient number, since it is larger than the sum of its proper divisors (1432908423).

2505420153 is a wasteful number, since it uses less digits than its factorization.

2505420153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2505420153 is about 50054.1721837451. The cubic root of 2505420153 is about 1358.1889375641.

The spelling of 2505420153 in words is "two billion, five hundred five million, four hundred twenty thousand, one hundred fifty-three".