1009501940 has 24 divisors (see below), whose sum is σ = 2130946440. Its totient is φ = 401707008.

The previous prime is 1009501937. The next prime is 1009501943. The reversal of 1009501940 is 491059001.

It is an interprime number because it is at equal distance from previous prime (1009501937) and next prime (1009501943).

It can be written as a sum of positive squares in 4 ways, for example, as 4104676 + 1005397264 = 2026^2 + 31708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009501943) 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 7 ways as a sum of consecutive naturals, for example, 126905 + ... + 134624.

It is an arithmetic number, because the mean of its divisors is an integer number (88789435).

Almost surely, 2^1009501940 is an apocalyptic number.

1009501940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009501940 is an abundant number, since it is smaller than the sum of its proper divisors (1121444500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1009501940 is a wasteful number, since it uses less digits than its factorization.

1009501940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261731 (or 261729 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 1009501940 is about 31772.6602600412. The cubic root of 1009501940 is about 1003.1573340833.

The spelling of 1009501940 in words is "one billion, nine million, five hundred one thousand, nine hundred forty".