1505672057 has 2 divisors, whose sum is σ = 1505672058. Its totient is φ = 1505672056.

The previous prime is 1505672027. The next prime is 1505672087. The reversal of 1505672057 is 7502765051.

It is a balanced prime because it is at equal distance from previous prime (1505672027) and next prime (1505672087).

It can be written as a sum of positive squares in only one way, i.e., 1403176681 + 102495376 = 37459^2 + 10124^2 .

It is a cyclic number.

It is not a de Polignac number, because 1505672057 - 2¹⁴ = 1505655673 is a prime.

It is a super-2 number, since 2×1505672057² = 4534096686461222498, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1505672057.

It is not a weakly prime, because it can be changed into another prime (1505672017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 752836028 + 752836029.

It is an arithmetic number, because the mean of its divisors is an integer number (752836029).

Almost surely, 2^1505672057 is an apocalyptic number.

It is an amenable number.

1505672057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1505672057 is an equidigital number, since it uses as much as digits as its factorization.

1505672057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73500, while the sum is 38.

The square root of 1505672057 is about 38802.9903100264. The cubic root of 1505672057 is about 1146.1552909043.

The spelling of 1505672057 in words is "one billion, five hundred five million, six hundred seventy-two thousand, fifty-seven".