1006506157 has 2 divisors, whose sum is σ = 1006506158. Its totient is φ = 1006506156.

The previous prime is 1006506101. The next prime is 1006506167. The reversal of 1006506157 is 7516056001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 758947401 + 247558756 = 27549^2 + 15734^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006506157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006506167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503253078 + 503253079.

It is an arithmetic number, because the mean of its divisors is an integer number (503253079).

Almost surely, 2^1006506157 is an apocalyptic number.

It is an amenable number.

1006506157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006506157 is an equidigital number, since it uses as much as digits as its factorization.

1006506157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 1006506157 is about 31725.4811941442. The cubic root of 1006506157 is about 1002.1640325849.

The spelling of 1006506157 in words is "one billion, six million, five hundred six thousand, one hundred fifty-seven".