2513167272 has 288 divisors, whose sum is σ = 8920454400. Its totient is φ = 631411200.

The previous prime is 2513167249. The next prime is 2513167291. The reversal of 2513167272 is 2727613152.

2513167272 is a `hidden beast` number, since 2 + 513 + 1 + 6 + 72 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1202004 + ... + 1204092.

It is an arithmetic number, because the mean of its divisors is an integer number (30973800).

Almost surely, 2^2513167272 is an apocalyptic number.

2513167272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513167272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460227200).

2513167272 is an abundant number, since it is smaller than the sum of its proper divisors (6407287128).

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

2513167272 is a wasteful number, since it uses less digits than its factorization.

2513167272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2143 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2513167272 is about 50131.4997980312. The cubic root of 2513167272 is about 1359.5874022318.

The spelling of 2513167272 in words is "two billion, five hundred thirteen million, one hundred sixty-seven thousand, two hundred seventy-two".