1517115061 has 40 divisors (see below), whose sum is σ = 1938784320. Its totient is φ = 1162761600.

The previous prime is 1517115053. The next prime is 1517115091. The reversal of 1517115061 is 1605117151.

It is not a de Polignac number, because 1517115061 - 2³ = 1517115053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1517115011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11580966 + ... + 11581096.

It is an arithmetic number, because the mean of its divisors is an integer number (48469608).

Almost surely, 2^1517115061 is an apocalyptic number.

1517115061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1517115061 is a deficient number, since it is larger than the sum of its proper divisors (421669259).

1517115061 is an equidigital number, since it uses as much as digits as its factorization.

1517115061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 28.

The square root of 1517115061 is about 38950.1612448524. The cubic root of 1517115061 is about 1149.0515332755.

The spelling of 1517115061 in words is "one billion, five hundred seventeen million, one hundred fifteen thousand, sixty-one".