67152000961 has 4 divisors (see below), whose sum is σ = 67152562992. Its totient is φ = 67151438932.

The previous prime is 67152000947. The next prime is 67152001009. The reversal of 67152000961 is 16900025176.

67152000961 = T₂₁₁₅₈₃ + T₂₁₁₅₈₄ + T₂₁₁₅₈₅.

67152000961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 67152000961 - 2¹³ = 67151992769 is a prime.

It is a super-2 number, since 2×67152000961² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67152000961.

It is not an unprimeable number, because it can be changed into a prime (67152000911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22555 + ... + 367168.

It is an arithmetic number, because the mean of its divisors is an integer number (16788140748).

Almost surely, 2^67152000961 is an apocalyptic number.

67152000961 is the 211585-th centered triangular number.

It is an amenable number.

67152000961 is a deficient number, since it is larger than the sum of its proper divisors (562031).

67152000961 is a wasteful number, since it uses less digits than its factorization.

67152000961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562030.

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 67152000961 in words is "sixty-seven billion, one hundred fifty-two million, nine hundred sixty-one", and thus it is an aban number.