688361553 has 12 divisors (see below), whose sum is σ = 1084691088. Its totient is φ = 417188760.

The previous prime is 688361519. The next prime is 688361573. The reversal of 688361553 is 355163886.

688361553 is a `hidden beast` number, since 68 + 8 + 36 + 1 + 553 = 666.

It is not a de Polignac number, because 688361553 - 2⁶ = 688361489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688361499 and 688361508.

It is not an unprimeable number, because it can be changed into a prime (688361573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3476475 + ... + 3476672.

It is an arithmetic number, because the mean of its divisors is an integer number (90390924).

Almost surely, 2^688361553 is an apocalyptic number.

It is an amenable number.

688361553 is a deficient number, since it is larger than the sum of its proper divisors (396329535).

688361553 is a wasteful number, since it uses less digits than its factorization.

688361553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953164 (or 6953161 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 688361553 is about 26236.6452314316. The cubic root of 688361553 is about 882.9556065643.

The spelling of 688361553 in words is "six hundred eighty-eight million, three hundred sixty-one thousand, five hundred fifty-three".