6961008252 has 24 divisors (see below), whose sum is σ = 17718930432. Its totient is φ = 2109396400.

The previous prime is 6961008251. The next prime is 6961008253. The reversal of 6961008252 is 2528001696.

It is an interprime number because it is at equal distance from previous prime (6961008251) and next prime (6961008253).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6961008252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961008251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26367324 + ... + 26367587.

It is an arithmetic number, because the mean of its divisors is an integer number (738288768).

Almost surely, 2^6961008252 is an apocalyptic number.

It is an amenable number.

6961008252 is an abundant number, since it is smaller than the sum of its proper divisors (10757922180).

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

6961008252 is a wasteful number, since it uses less digits than its factorization.

6961008252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52734929 (or 52734927 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 6961008252 is about 83432.6569875370. The cubic root of 6961008252 is about 1909.3727326276.

The spelling of 6961008252 in words is "six billion, nine hundred sixty-one million, eight thousand, two hundred fifty-two".