1517337972 has 36 divisors (see below), whose sum is σ = 3836982240. Its totient is φ = 505582992.

The previous prime is 1517337959. The next prime is 1517337977. The reversal of 1517337972 is 2797337151.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1517337977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108729 + ... + 121887.

It is an arithmetic number, because the mean of its divisors is an integer number (106582840).

Almost surely, 2^1517337972 is an apocalyptic number.

1517337972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1517337972 is an abundant number, since it is smaller than the sum of its proper divisors (2319644268).

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

1517337972 is a wasteful number, since it uses less digits than its factorization.

1517337972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16372 (or 16367 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 1517337972 is about 38953.0226298294. The cubic root of 1517337972 is about 1149.1078075576.

The spelling of 1517337972 in words is "one billion, five hundred seventeen million, three hundred thirty-seven thousand, nine hundred seventy-two".