515970042 has 64 divisors (see below), whose sum is σ = 1267937280. Its totient is φ = 136679616.

The previous prime is 515969977. The next prime is 515970053. The reversal of 515970042 is 240079515.

It is a junction number, because it is equal to n+sod(n) for n = 515969985 and 515970012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30628 + ... + 44384.

It is an arithmetic number, because the mean of its divisors is an integer number (19811520).

Almost surely, 2^515970042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515970042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633968640).

515970042 is an abundant number, since it is smaller than the sum of its proper divisors (751967238).

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

515970042 is a wasteful number, since it uses less digits than its factorization.

515970042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13835.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 515970042 is about 22714.9739599234. The cubic root of 515970042 is about 802.0624087271.

The spelling of 515970042 in words is "five hundred fifteen million, nine hundred seventy thousand, forty-two".