1253553521 has 16 divisors (see below), whose sum is σ = 1441127808. Its totient is φ = 1079232000.

The previous prime is 1253553467. The next prime is 1253553523.

1253553521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1253553521 - 2²⁶ = 1186444657 is a prime.

It is a super-2 number, since 2×1253553521² = 3142792860022994882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253553523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1025 + ... + 50081.

It is an arithmetic number, because the mean of its divisors is an integer number (90070488).

Almost surely, 2^1253553521 is an apocalyptic number.

1253553521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1253553521 is a deficient number, since it is larger than the sum of its proper divisors (187574287).

1253553521 is a wasteful number, since it uses less digits than its factorization.

1253553521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49192.

The product of its digits is 22500, while the sum is 32.

The square root of 1253553521 is about 35405.5577699321. The cubic root of 1253553521 is about 1078.2371564351.

The spelling of 1253553521 in words is "one billion, two hundred fifty-three million, five hundred fifty-three thousand, five hundred twenty-one".