1006632512090 has 64 divisors (see below), whose sum is σ = 1870711627680. Its totient is φ = 389749800960.

The previous prime is 1006632512023. The next prime is 1006632512113. The reversal of 1006632512090 is 902152366001.

It can be written as a sum of positive squares in 16 ways, for example, as 54694709161 + 951937802929 = 233869^2 + 975673^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1006632512090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134411066 + ... + 134418554.

Almost surely, 2^{1006632512090} is an apocalyptic number.

1006632512090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006632512090 is a deficient number, since it is larger than the sum of its proper divisors (864079115590).

1006632512090 is a wasteful number, since it uses less digits than its factorization.

1006632512090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067.

The product of its (nonzero) digits is 19440, while the sum is 35.

Adding to 1006632512090 its reverse (902152366001), we get a palindrome (1908784878091).

The spelling of 1006632512090 in words is "one trillion, six billion, six hundred thirty-two million, five hundred twelve thousand, ninety".