73738151253 has 64 divisors (see below), whose sum is σ = 126272321280. Its totient is φ = 42122778624.

The previous prime is 73738151239. The next prime is 73738151257. The reversal of 73738151253 is 35215183737.

73738151253 is a `hidden beast` number, since 7 + 3 + 7 + 3 + 81 + 512 + 53 = 666.

It is not a de Polignac number, because 73738151253 - 2⁴ = 73738151237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73738151199 and 73738151208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73738151257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350950 + ... + 520232.

It is an arithmetic number, because the mean of its divisors is an integer number (1973005020).

Almost surely, 2^73738151253 is an apocalyptic number.

73738151253 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

73738151253 is a deficient number, since it is larger than the sum of its proper divisors (52534170027).

73738151253 is a wasteful number, since it uses less digits than its factorization.

73738151253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169395 (or 169389 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 73738151253 in words is "seventy-three billion, seven hundred thirty-eight million, one hundred fifty-one thousand, two hundred fifty-three".