1010057061 has 24 divisors (see below), whose sum is σ = 1460375136. Its totient is φ = 620692800.

The previous prime is 1010057039. The next prime is 1010057077. The reversal of 1010057061 is 1607500101.

It is not a de Polignac number, because 1010057061 - 2⁶ = 1010056997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010055061) 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 23 ways as a sum of consecutive naturals, for example, 695386 + ... + 696836.

It is an arithmetic number, because the mean of its divisors is an integer number (60848964).

Almost surely, 2^1010057061 is an apocalyptic number.

It is an amenable number.

1010057061 is a deficient number, since it is larger than the sum of its proper divisors (450318075).

1010057061 is a wasteful number, since it uses less digits than its factorization.

1010057061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1010057061 is about 31781.3948875753. The cubic root of 1010057061 is about 1003.3411777648.

Adding to 1010057061 its reverse (1607500101), we get a palindrome (2617557162).

It can be divided in two parts, 10100 and 57061, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 1010057061 in words is "one billion, ten million, fifty-seven thousand, sixty-one".