153513414461 has 32 divisors (see below), whose sum is σ = 175839068160. Its totient is φ = 132789283200.

The previous prime is 153513414449. The next prime is 153513414469. The reversal of 153513414461 is 164414315351.

It is a cyclic number.

It is not a de Polignac number, because 153513414461 - 2¹⁰ = 153513413437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153513414469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3356630 + ... + 3402056.

It is an arithmetic number, because the mean of its divisors is an integer number (5494970880).

Almost surely, 2^153513414461 is an apocalyptic number.

153513414461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153513414461 is a deficient number, since it is larger than the sum of its proper divisors (22325653699).

153513414461 is a wasteful number, since it uses less digits than its factorization.

153513414461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45665.

The product of its digits is 86400, while the sum is 38.

The spelling of 153513414461 in words is "one hundred fifty-three billion, five hundred thirteen million, four hundred fourteen thousand, four hundred sixty-one".