7825187601 has 256 divisors, whose sum is σ = 16544563200. Its totient is φ = 3527193600.

The previous prime is 7825187551. The next prime is 7825187611. The reversal of 7825187601 is 1067815287.

It is a happy number.

7825187601 is a `hidden beast` number, since 7 + 8 + 25 + 18 + 7 + 601 = 666.

It is not a de Polignac number, because 7825187601 - 2⁷ = 7825187473 is a prime.

It is a super-2 number, since 2×7825187601² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7825187611) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28875096 + ... + 28875366.

It is an arithmetic number, because the mean of its divisors is an integer number (64627200).

Almost surely, 2^7825187601 is an apocalyptic number.

It is an amenable number.

7825187601 is an abundant number, since it is smaller than the sum of its proper divisors (8719375599).

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

7825187601 is a wasteful number, since it uses less digits than its factorization.

7825187601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 7825187601 is about 88460.0904419615. The cubic root of 7825187601 is about 1985.3248839358.

The spelling of 7825187601 in words is "seven billion, eight hundred twenty-five million, one hundred eighty-seven thousand, six hundred one".