6258161952 has 384 divisors, whose sum is σ = 22295347200. Its totient is φ = 1669248000.

The previous prime is 6258161951. The next prime is 6258161971. The reversal of 6258161952 is 2591618526.

6258161952 is a `hidden beast` number, since 6 + 2 + 581 + 6 + 19 + 52 = 666.

It is a super-3 number, since 3×6258161952³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6258161898 and 6258161907.

It is not an unprimeable number, because it can be changed into a prime (6258161951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5436577 + ... + 5437727.

It is an arithmetic number, because the mean of its divisors is an integer number (58060800).

Almost surely, 2^6258161952 is an apocalyptic number.

6258161952 is a gapful number since it is divisible by the number (62) 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 6258161952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147673600).

6258161952 is an abundant number, since it is smaller than the sum of its proper divisors (16037185248).

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

6258161952 is a wasteful number, since it uses less digits than its factorization.

6258161952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1223 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 6258161952 is about 79108.5453791182. The cubic root of 6258161952 is about 1842.8172375505.

The spelling of 6258161952 in words is "six billion, two hundred fifty-eight million, one hundred sixty-one thousand, nine hundred fifty-two".