513632151 has 8 divisors (see below), whose sum is σ = 760936560. Its totient is φ = 342421416.

The previous prime is 513632123. The next prime is 513632153. The reversal of 513632151 is 151236315.

513632151 is a `hidden beast` number, since 5 + 13 + 632 + 15 + 1 = 666.

It is not a de Polignac number, because 513632151 - 2¹⁸ = 513370007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19023413 = 513632151 / (5 + 1 + 3 + 6 + 3 + 2 + 1 + 5 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513632153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9511680 + ... + 9511733.

It is an arithmetic number, because the mean of its divisors is an integer number (95117070).

Almost surely, 2^513632151 is an apocalyptic number.

513632151 is a deficient number, since it is larger than the sum of its proper divisors (247304409).

513632151 is a wasteful number, since it uses less digits than its factorization.

513632151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19023422 (or 19023416 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 513632151 is about 22663.4540836122. The cubic root of 513632151 is about 800.8491769500.

Adding to 513632151 its reverse (151236315), we get a palindrome (664868466).

The spelling of 513632151 in words is "five hundred thirteen million, six hundred thirty-two thousand, one hundred fifty-one".