1461657601 has 2 divisors, whose sum is σ = 1461657602. Its totient is φ = 1461657600.

The previous prime is 1461657577. The next prime is 1461657607. The reversal of 1461657601 is 1067561641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1310367601 + 151290000 = 36199^2 + 12300^2 .

It is an emirp because it is prime and its reverse (1067561641) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1461657601 - 2¹¹ = 1461655553 is a prime.

It is a super-2 number, since 2×1461657601² = 4272885885122150402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1461657607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 730828800 + 730828801.

It is an arithmetic number, because the mean of its divisors is an integer number (730828801).

Almost surely, 2^1461657601 is an apocalyptic number.

It is an amenable number.

1461657601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1461657601 is an equidigital number, since it uses as much as digits as its factorization.

1461657601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1461657601 is about 38231.6308964187. The cubic root of 1461657601 is about 1134.8763606126.

The spelling of 1461657601 in words is "one billion, four hundred sixty-one million, six hundred fifty-seven thousand, six hundred one".