513154142240 has 48 divisors (see below), whose sum is σ = 1213078868568. Its totient is φ = 205134299136.

The previous prime is 513154142213. The next prime is 513154142261. The reversal of 513154142240 is 42241451315.

It can be written as a sum of positive squares in 4 ways, for example, as 301528381456 + 211625760784 = 549116^2 + 460028^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 513154142197 and 513154142206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 736097 + ... + 1252256.

Almost surely, 2^513154142240 is an apocalyptic number.

It is an amenable number.

513154142240 is an abundant number, since it is smaller than the sum of its proper divisors (699924726328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513154142240 is a wasteful number, since it uses less digits than its factorization.

513154142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989981 (or 1989973 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 513154142240 its reverse (42241451315), we get a palindrome (555395593555).

The spelling of 513154142240 in words is "five hundred thirteen billion, one hundred fifty-four million, one hundred forty-two thousand, two hundred forty".