1517142990 has 64 divisors (see below), whose sum is σ = 3983904000. Its totient is φ = 366704640.

The previous prime is 1517142983. The next prime is 1517143009. The reversal of 1517142990 is 992417151.

It is a super-2 number, since 2×1517142990² = 4603445704212280200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 107886 + ... + 121134.

It is an arithmetic number, because the mean of its divisors is an integer number (62248500).

Almost surely, 2^1517142990 is an apocalyptic number.

1517142990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1517142990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991952000).

1517142990 is an abundant number, since it is smaller than the sum of its proper divisors (2466761010).

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

1517142990 is a wasteful number, since it uses less digits than its factorization.

1517142990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617.

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 1517142990 is about 38950.5197654665. The cubic root of 1517142990 is about 1149.0585843038.

The spelling of 1517142990 in words is "one billion, five hundred seventeen million, one hundred forty-two thousand, nine hundred ninety".