2512216512 has 112 divisors (see below), whose sum is σ = 7953634080. Its totient is φ = 772982784.

The previous prime is 2512216507. The next prime is 2512216517. The reversal of 2512216512 is 2156122152.

2512216512 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 2 + 1 + 651 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2512216507) and next prime (2512216517).

It is a super-2 number, since 2×2512216512² = 12622463606330892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512216517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33453 + ... + 78380.

It is an arithmetic number, because the mean of its divisors is an integer number (71014590).

Almost surely, 2^2512216512 is an apocalyptic number.

It is an amenable number.

2512216512 is an abundant number, since it is smaller than the sum of its proper divisors (5441417568).

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

2512216512 is a wasteful number, since it uses less digits than its factorization.

2512216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111867 (or 111851 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 2512216512 is about 50122.0162403709. The cubic root of 2512216512 is about 1359.4159314382.

Adding to 2512216512 its reverse (2156122152), we get a palindrome (4668338664).

It can be divided in two parts, 2512 and 216512, that added together give a square (219024 = 468²).

The spelling of 2512216512 in words is "two billion, five hundred twelve million, two hundred sixteen thousand, five hundred twelve".