2153624131 has 2 divisors, whose sum is σ = 2153624132. Its totient is φ = 2153624130.

The previous prime is 2153624063. The next prime is 2153624147. The reversal of 2153624131 is 1314263512.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2153624131 - 2¹⁹ = 2153099843 is a prime.

It is a super-2 number, since 2×2153624131² = 9276193795251010322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2153624131.

It is not a weakly prime, because it can be changed into another prime (2153624171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076812065 + 1076812066.

It is an arithmetic number, because the mean of its divisors is an integer number (1076812066).

Almost surely, 2^2153624131 is an apocalyptic number.

2153624131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153624131 is an equidigital number, since it uses as much as digits as its factorization.

2153624131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 28.

The square root of 2153624131 is about 46407.1560322328. The cubic root of 2153624131 is about 1291.3876722399.

Adding to 2153624131 its reverse (1314263512), we get a palindrome (3467887643).

The spelling of 2153624131 in words is "two billion, one hundred fifty-three million, six hundred twenty-four thousand, one hundred thirty-one".