6553354956 has 96 divisors (see below), whose sum is σ = 16589567232. Its totient is φ = 2005893120.

The previous prime is 6553354949. The next prime is 6553354963. The reversal of 6553354956 is 6594533556.

It is an interprime number because it is at equal distance from previous prime (6553354949) and next prime (6553354963).

It is a super-2 number, since 2×6553354956² = 85892922358659523872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 6553354899 and 6553354908.

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, 1460236 + ... + 1464716.

It is an arithmetic number, because the mean of its divisors is an integer number (172807992).

Almost surely, 2^6553354956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6553354956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294783616).

6553354956 is an abundant number, since it is smaller than the sum of its proper divisors (10036212276).

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

6553354956 is a wasteful number, since it uses less digits than its factorization.

6553354956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4677 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 51.

The square root of 6553354956 is about 80952.7946151336. The cubic root of 6553354956 is about 1871.3480281746.

The spelling of 6553354956 in words is "six billion, five hundred fifty-three million, three hundred fifty-four thousand, nine hundred fifty-six".