1638007353 has 72 divisors (see below), whose sum is σ = 2659395648. Its totient is φ = 1004876928.

The previous prime is 1638007337. The next prime is 1638007369. The reversal of 1638007353 is 3537008361.

It is an interprime number because it is at equal distance from previous prime (1638007337) and next prime (1638007369).

It is not a de Polignac number, because 1638007353 - 2⁴ = 1638007337 is a prime.

It is a super-3 number, since 3×1638007353³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1638007303) 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 71 ways as a sum of consecutive naturals, for example, 18404533 + ... + 18404621.

Almost surely, 2^1638007353 is an apocalyptic number.

It is an amenable number.

1638007353 is a deficient number, since it is larger than the sum of its proper divisors (1021388295).

1638007353 is an frugal number, since it uses more digits than its factorization.

1638007353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1638007353 is about 40472.3035296979. The cubic root of 1638007353 is about 1178.7958973067.

The spelling of 1638007353 in words is "one billion, six hundred thirty-eight million, seven thousand, three hundred fifty-three".